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Finding the Fourth Proportional to 148,321, 204,687.30 and 81,257.32

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Solution

The fourth proportional to 148,321, 204,687.30 and 81,257.32 is: 112,137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,321 : 204,687.30 = 81,257.32 : x
  2. Step 2: Convert to fraction form
    148,321/204,687.30 = 81,257.32/x
  3. Step 3: Cross multiply
    148,321x = 204,687.30 × 81,257.32
  4. Step 4: Simplify right side
    148,321x = 16,632,341,436.04
  5. Step 5: Solve for x
    x = 16,632,341,436.04/148,321
  6. Step 6: Final answer
    x = 112,137.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.